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Finding the Fourth Proportional to 2,579, 3,858.78 and 1,600.52

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Solution

The fourth proportional to 2,579, 3,858.78 and 1,600.52 is: 2,394.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,579 : 3,858.78 = 1,600.52 : x
  2. Step 2: Convert to fraction form
    2,579/3,858.78 = 1,600.52/x
  3. Step 3: Cross multiply
    2,579x = 3,858.78 × 1,600.52
  4. Step 4: Simplify right side
    2,579x = 6,176,054.57
  5. Step 5: Solve for x
    x = 6,176,054.57/2,579
  6. Step 6: Final answer
    x = 2,394.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.